Choose a quadratic solution strategy
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Solve x² + 0x − 4 = 0 using factorisation.
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Answer: x = -2 or 2
- Factor the quadratic as (x − (-2))(x − 2).
- Set each factor equal to zero.
- The roots are -2 and 2.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use factorisation, square roots and the null factor law while checking all solutions.
Read the official VCAA curriculum description (VC2M10A13)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
- VC2M10A13-C01Find all roots from a factorised quadratic.
- VC2M10A13-C02Solve a simple square equation using positive and negative roots.
- VC2M10A13-C03Apply and explain choose a quadratic solution strategy using calculate and explain each step.
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Subskills
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Descriptor-derived subskills
- D01Use a zero productFind all roots from a factorised quadratic.
- D02Keep both signsSolve a simple square equation using positive and negative roots.
- D03Calculate and explain each stepApply and explain choose a quadratic solution strategy using calculate and explain each step.